Least Common Multiple of 2539 and 2545

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2539 and 2545 the smallest integer that is 6461755 that is divisible by both numbers.

Least Common Multiple (LCM) of 2539 and 2545 is 6461755.

LCM(2539,2545) = 6461755

LCM of 2539 and 2545

Least common multiple or lowest common denominator (LCD) can be calculated in three ways;

LCM of:
and

Least Common Multiple of 2539 and 2545

LCM of 2539 and 2545 is 6461755

Least common multiple can be found by multiplying the highest exponent prime factors of 2539 and 2545. First we will calculate the prime factors of 2539 and 2545.

Prime Factorization of 2539


2539 2539
1

Prime factors of 2539 are 2539. Prime factorization of 2539 in exponential form is:

2539 = 25391

Prime Factorization of 2545


5 2545
509 509
1

Prime factors of 2545 are 5,509. Prime factorization of 2545 in exponential form is:

2545 = 51×5091

Now multiplying the highest exponent prime factors to calculate the LCM of 2539 and 2545.

LCM(2539,2545) = 51×5091×25391
LCM(2539,2545) = 6461755

Factors of 2539

List of positive integer factors of 2539 that divides 2539 without a remainder.

1, 2539

Factors of 2545

List of positive integer factors of 2545 that divides 2545 without a remainder.

1, 5, 509, 2545

Least Common Multiple of 2539 and 2545 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2539 and 2545, than apply into the LCM equation.

GCF(2539,2545) = 1
LCM(2539,2545) = ( 2539 × 2545) / 1
LCM(2539,2545) = 6461755 / 1
LCM(2539,2545) = 6461755

Properties of LCM 2539 and 2545

(i) The LCM of 2545 and 2539 is associative

LCM of 2539 and 2545 = LCM of 2545 and 2539

Related Least Common Multiples of 2539

Related Least Common Multiples of 2545

Frequently Asked Questions on LCM of 2539 and 2545

1. What is the LCM of 2539 and 2545?

Answer: LCM of 2539 and 2545 is 6461755.

2. What are the Factors of 2539?

Answer: Factors of 2539 are 1, 2539. There are 2 integers that are factors of 2539. The greatest factor of 2539 is 2539.

3. What are the Factors of 2545?

Answer: Factors of 2545 are 1, 5, 509, 2545. There are 4 integers that are factors of 2545. The greatest factor of 2545 is 2545.

4. How to Find the LCM of 2539 and 2545?

Answer:

Least Common Multiple of 2539 and 2545 = 6461755

Step 1: Find the prime factorization of 2539

2539 = 2539

Step 2: Find the prime factorization of 2545

2545 = 5 x 509

Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:

LCM = 6461755 = 5 x 509 x 2539

Step 4: Therefore, the least common multiple of 2539 and 2545 is 6461755.